The problem asks us to subtract two polynomials: $(7m^3 + 5m^2 - m + 2.3) - (-2m^3 + 9m + 3.3)$.

AlgebraPolynomialsSubtractionCombining Like TermsAlgebraic Manipulation
2025/3/17

1. Problem Description

The problem asks us to subtract two polynomials: (7m3+5m2m+2.3)(2m3+9m+3.3)(7m^3 + 5m^2 - m + 2.3) - (-2m^3 + 9m + 3.3).

2. Solution Steps

We need to subtract the second polynomial from the first. This involves distributing the negative sign to each term in the second polynomial and then combining like terms.
(7m3+5m2m+2.3)(2m3+9m+3.3)(7m^3 + 5m^2 - m + 2.3) - (-2m^3 + 9m + 3.3)
=7m3+5m2m+2.3+2m39m3.3= 7m^3 + 5m^2 - m + 2.3 + 2m^3 - 9m - 3.3
Now, we combine like terms:
Terms with m3m^3: 7m3+2m3=9m37m^3 + 2m^3 = 9m^3
Terms with m2m^2: 5m25m^2
Terms with mm: m9m=10m-m - 9m = -10m
Constant terms: 2.33.3=12.3 - 3.3 = -1
So, the result is 9m3+5m210m19m^3 + 5m^2 - 10m - 1.

3. Final Answer

9m3+5m210m19m^3 + 5m^2 - 10m - 1

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